Which of the following sets, given by the roster method, is equal to the set below given in set-builder notation? {x € Z | 0 < x² < 30} O A. {-30, -29, ..., -2,-1, 1, 2,..., 29, 30} O B. {1,2,..., 29, 30} O C. {-5, -4,-3, -2, -1, 1, 2, 3, 4, 5} O D. {0, 1, 2, 3, 4, 5}

Q: Is the statement {0} = true, or is it false? Explain.

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Q: Write each set using set-builder notation and inequalities. (a)     A = {1, 2, 3, 4, 5, 6,....}…

A: (a) Given set is A=1,2,3,4,5,6,.... The set-builder notation of set A is given by A=x:x∈N   (b)…

Q: Are the given sets equivalent? A = {1, 2, 9} and B = {3, 4, 6, 7} yes O no

A: In this question, we have to tell set is equivalent. The definition of equivalent sets states that…

Q: Write the following sets in set building notation. a. A = {-3, 3} b. B = {0, 1, 2, 3, 4, 5, 6, 7, 8}

A: The objective of this question is to express the given sets in set-builder notation. Set-builder…

Q: Determine whether the following pair of sets is equvalent. Justify your answer. {3,5,7,9,...,23} and…

A: Two sets are said to be equalent sets when the number of elements of both the sets are equal.

Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

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Q: Which is an example of disjoint sets?   A={multiples of two} and B = {multiples of three}   E =…

A: A={multiples of two} and B = {multiples of three} AnB = {6,12,18,...} = non-empty set E =…

Q: . How many relations are there on the set S = {2, 4, 6}? 892 512 none of these 1024

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

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Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: Express the following set in set-builder notation. B= {12, 13, 14, 15, 16, 17, 18, 19} Choose the…

A: The given set is                          B=12, 13, 14, 15, 16, 17, 18, 19 We have to express the…

Q: B = {ncN|n < 100}

A: Given  B = { n € N  | n3 &lt; 100}

Q: Write each of the following set in form {x :x € S and P(x)} (or builder notat a. A= {1,2,3} b. C={0,…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: List the elements of the set {x|x EZ and x² < 40}.

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Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.